Finding the Fourth Proportional to 2,585.00, 3,567.17 and 1,465.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.00 : 3,567.17 = 1,465.86 : x
2. Step 2: Convert to fraction form
   2,585.00/3,567.17 = 1,465.86/x
3. Step 3: Cross multiply
   2,585.00x = 3,567.17 × 1,465.86
4. Step 4: Simplify right side
   2,585.00x = 5,228,964.49
5. Step 5: Solve for x
   x = 5,228,964.49/2,585.00
6. Step 6: Final answer
   x = 2,022.81